Nonnoetherian coordinate rings with unique maximal depictions |
| |
| Authors: | Charlie Beil |
| |
| Affiliation: | 1. Institut für Mathematik und Wissenschaftliches Rechnen, Universit?t Graz, NAWI Graz, Graz, Austriacharles.beil@uni-graz.at |
| |
| Abstract: | A depiction of a nonnoetherian integral domain R is a special coordinate ring that provides a framework for describing the geometry of R. We show that if R is noetherian in codimension 1, then R has a unique maximal depiction T. In this case, the geometric dimensions of the points of Spec R may be computed directly from T. If in addition R has a normal depiction S, then S is the unique maximal depiction of R. |
| |
| Keywords: | Foundations of algebraic geometry nonnoetherian rings |
|
|
